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8064480 = 253553317
BaseRepresentation
bin11110110000110111100000
3120011201101110
4132300313200
54031030410
6444503320
7125355414
oct36606740
916151343
108064480
114608a66
12284ab40
1318948a8
1410dcd44
15a94720
hex7b0de0

8064480 has 96 divisors (see below), whose sum is σ = 25964064. Its totient is φ = 2103296.

The previous prime is 8064473. The next prime is 8064499. The reversal of 8064480 is 844608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25282 + ... + 25598.

It is an arithmetic number, because the mean of its divisors is an integer number (270459).

Almost surely, 28064480 is an apocalyptic number.

8064480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982032).

8064480 is an abundant number, since it is smaller than the sum of its proper divisors (17899584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8064480 is a wasteful number, since it uses less digits than its factorization.

8064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8064480 is about 2839.8028100557. The cubic root of 8064480 is about 200.5358961275.

The spelling of 8064480 in words is "eight million, sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 317 318 424 480 530 634 636 795 848 951 1060 1268 1272 1585 1590 1696 1902 2120 2536 2544 3170 3180 3804 4240 4755 5072 5088 6340 6360 7608 8480 9510 10144 12680 12720 15216 16801 19020 25360 25440 30432 33602 38040 50403 50720 67204 76080 84005 100806 134408 152160 168010 201612 252015 268816 336020 403224 504030 537632 672040 806448 1008060 1344080 1612896 2016120 2688160 4032240 8064480